With increase in frequency of a.c. supply, the impedance of an $\mathrm{L}-\mathrm{C}$-R series circuit

With increase in frequency of a.c. supply, the impedance of an $\mathrm{L}-\mathrm{C}$-R series circuit
  1. remains constant.
  2. increases.
  3. decreases.
  4. decreases at first, becomes minimum and then increases.

Solution

We know $\mathrm{X}_{\mathrm{L}}=\mathrm{L} \omega$ and $\mathrm{X}_{\mathrm{C}}=\frac{1}{\mathrm{C} \omega}$ $\Rightarrow$ When the frequency increases, $X_{\mathrm{L}}^{\prime}$ increases and $X_c$ decreases. $\therefore \quad$ The impédance of an LCR series circuit decreases at first, becomes minimum and then increases.

Asked in: MHT CET 2023 (13 May Shift 1)

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